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Riemann topology and physics

By: Monastyrsky, Michael.
Contributor(s): Dyson Freeman J | Cooke, Roger | King, James | King, Victoria.
Series: Modern Birkhauser classics. Publisher: Cambridge Birkhauser 2008Edition: 2nd ed.Description: xiii, 215 p.ISBN: 9780817647780.Subject(s): Topology | Mathematical physics | Mathematicians - Germany - BiographyDDC classification: 530.15 Summary: This significantly expanded second edition of Riemann, Topology, and Physics combines a fascinating account of the life and work of Bernhard Riemann with a lucid discussion of current interaction between topology and physics. The author, a distinguished mathematical physicist, takes into account his own research at the Riemann archives of Gttingen University and developments over the last decade that connect Riemann with numerous significant ideas and methods reflected throughout contemporary mathematics and physics. Special attention is paid in part one to results on the RiemannHilbert problem and, in part two, to discoveries in field theory and condensed matter such as the quantum Hall effect, quasicrystals, membranes with nontrivial topology, fake differential structures on 4-dimensional Euclidean space, new invariants of knots and more. In his relatively short lifetime, this great mathematician made outstanding contributions to nearly all branches of mathematics; today Riemanns name appears prominently throughout the literature. Source: www.springer.com
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This significantly expanded second edition of Riemann, Topology, and Physics combines a fascinating account of the life and work of Bernhard Riemann with a lucid discussion of current interaction between topology and physics. The author, a distinguished mathematical physicist, takes into account his own research at the Riemann archives of Gttingen University and developments over the last decade that connect Riemann with numerous significant ideas and methods reflected throughout contemporary mathematics and physics. Special attention is paid in part one to results on the RiemannHilbert problem and, in part two, to discoveries in field theory and condensed matter such as the quantum Hall effect, quasicrystals, membranes with nontrivial topology, fake differential structures on 4-dimensional Euclidean space, new invariants of knots and more. In his relatively short lifetime, this great mathematician made outstanding contributions to nearly all branches of mathematics; today Riemanns name appears prominently throughout the literature. Source: www.springer.com

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